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Brums [2.3K]
3 years ago
14

Select the correct answer.

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

D. addition property of inequality

Step-by-step explanation:

Michael uses addition to move -8 from one side to the other.

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Given: PKHE - inscribed, m∠E=120°<br> m∠EPK=51°, PF ∥EH<br> Find: m∠KPF, m∠H.
3241004551 [841]

Answer:

KPF = 9 and H = 129

Step-by-step explanation:

An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.  

H= 180-EPK and K = 180-E so H = 129 and K = 60

Now PF and EH are parallel, so PE is a transversal.   That means FPE = 180 - E = 60.  Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.

Let me know if you don't see how I did any of this and I'll be happy to explain it..

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Ivan

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the third option

Step-by-step explanation:

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since this is a multiplication, all the numerators are just factors of the product numerator and all denominators are just factors of the product denominator, so we can simply reorder them some, without changing the product.


\bf \cfrac{7}{8}\times \cfrac{4}{15}\times \cfrac{3}{7}\implies \cfrac{7}{7}\times \cfrac{4}{8}\times \cfrac{3}{15}\implies \cfrac{1}{1}\times \cfrac{1}{2}\times \cfrac{1}{5}\implies \cfrac{1\cdot 1\cdot 1}{1\cdot 2\cdot 5}\implies \cfrac{1}{10}

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Step-by-step explanation:

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